Sisyphos Fillomino (10x10)
(Published on 14. November 2022, 15:00 by Jesper)
Rules
Divide the grid into regions so that no two regions of the same size share an edge. Enter a number into each cell equal to the size of its region.
Numbers outside the grid are Sisyphos clues; they indicate how many steps a boulder rolled onto the grid from that direction would travel.
A boulder moves orthogonally between cells as follows:
- Generally it will proceed to the lowest neighboring number, but it will never roll uphill (from a lower number to a higher number)
- On flat ground (equal numbers), it will continue rolling straight, but it will not turn (since there is no gradient)
- If several equal lower numbers are available, it will go straight rather than turn
- In case of ties solely between turning left and turning right, it will split and use both paths (which then each individually must have the length specified in the outside clue).
Example (6x6):
The puzzle follows:
Penpa+: Sisyphos Fillomino (10x10)
The solution check requires all numbers.
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Solution code: Row 8 followed by column 8
Comments
on 7. October 2023, 01:19 by Piatato
Very cleverly put together!
on 9. December 2022, 08:31 by PixelPlucker
Happy to finally be caught up with your puzzles :) Thanks for them!
on 20. November 2022, 22:58 by Christounet
Great puzzle and very fun concept. I could almost see the boulders roll down the slopes of the grid while I was solving ! I shall now roll them back on top of the mountain to get ready for #2 !
on 17. November 2022, 07:15 by Agent
Very nice puzzle, beautiful interactions! Some of the clues were surprisingly restricted.
on 16. November 2022, 13:45 by SudokuExplorer
Once you get started, the puzzle really flows. Lovely logic throughout, thanks!
on 16. November 2022, 11:10 by MagnusJosefsson
I tested this for Jesper and liked it a lot! Very fun and smooth with no tricky or frustrating parts.
on 16. November 2022, 05:48 by marcmees
Smooth solve. Tricky finish. Thanks.
on 15. November 2022, 04:19 by harrison
Beautiful construction, Jesper. It's never that difficult but it's so easy to make a mistake or miss a possible configuration. A real mind bender.
on 14. November 2022, 22:22 by Niverio
Another masterpiece from the master of fillominos! Looking forward to #2!
on 14. November 2022, 20:43 by ONeill
Brilliant puzzle, thanks!
on 14. November 2022, 18:31 by KNT
The way the paths worked on flat ground really messed with me many times through the solve. Very smooth, and I look forward to the second :)
on 14. November 2022, 17:35 by polar
Surprisingly straightforward once I understood the implications of all the rules. Lovely as always! Thanks
on 14. November 2022, 16:23 by Vebby
Very interesting and enjoyable! Great idea for the ruleset :)
